TAREA DE SUMATORIAS

Con los datos siguientes, efectúa las operaciones que se indiquen.

X= 8,12,16,20,24,28 Y= 4,6,8,10,12,14


Z= 1,2,3,4,5,6 W= 2,4,6,8,10,12

6
1. - ∑ Xi = 8+12+16+20+24+28=108
i=1

6
2. - ∑ Yi = 8+10+12+14=44

6
3. - ∑ Zi = 1+2+3+4+5+6=21
1

3
4. - ∑ Xi = 8+12+16=36
i=1

5
5. - ∑ Yi = 8+10+12=30
i=3


6. - ∑ (X+B) =(8+3)+(12+3)+(16+3)+(20+3)+(24+3)+
(28+3)=11+15+19+23+27+31
=126

7. - ∑ (W+C2) =(2+(4)2)+(4+(4)2)+(6+(4)2)+(8+(4)2)+
(10+ (4)2)+ (12+ (4)2) =
=18+20+22+24+26+28=138

8. - ∑ X+B = 8+12+16+20+24+28=108+3
=108 +3 =111

9. - ∑ W+C2=2+4+6+8+10+12+(4)2=
=42+16=58

10. - ∑ BY = 3(4)+3(6)+3(8)+3(10)+3(12)+3(14)
= 12+18+24+30+36+42=162

11. - ∑ CX= 4(8+12+16+20+24+28)=108
= 108(4)=432

12. - ∑ C2 W= (4)2 (2+4+6+8+10+12)= 42(169= 672

13. - ∑ Z W2= 1(2)2 2(4)2+3(6)2+4(8)2+5(10)2+6(12)2
= 4+32+108+256+500+846
= 1764

14. - ∑ X/B = 8/3+12/3+16/3+20/3+24/3+28/3
= 2.6+4+5.3+6.6+8+9.3
=35.5


15. - ∑ Z/C2 = (1+2+3+4+5+6)/ (4)2
=1.3925

16. - ∑ B/W = 3/2+3/4+3/6+3/8+3/10+3/12
= 1.5+0.75+0.5+0.375+0.3+0.25
=2.675

17. - ∑ C2/W =42/2+42/4+42/6+42/8+42/10+42/12
= 8+4+2.6+2+1.6+1.3
=19.5

18. - ∑ X2 = (8)2+(12)2+(16)2+(20)2+(24)2+(28)2
= 64+144+256+400+576+784
= 2224

19. - ∑ W2 = (2)2+(4)2+(6)2+(8)2+(10)2+(12)2
= 4+16+36+64+100+144
= 364
20. – ∑ Y3 = (4)3+ (6)3+ (8)3+ (10)3+ (12)3+ (14)3
= 64+216+512+1000+1728+2744
= 6264

21. - ∑ X = 8+12+16+20+24+28
= 2.82+3.46+4+4.47+4.89+5.29
= 24.93

22. – (∑X) 2 = (8+12+16+20+24+28)2
= (108)2
= 11664

23. – (∑W) 2 = (2+4+6+8+10+12)2
= (42)2
= 1764

24. - ∑ Z =1+2+3+4+5+6
=1+1.41+1.73+2+2.3+2.44
=10.81

25.- Σ(X + Y + B2) = (8+12+16+20+24+28)-
(4+6+8+10+12+14)+(3)2
= 108-54+9
= 63


26.- Σ(Y + W - C) =(4+6+8+10+12+14)+(2+4+6+8+10+12)-(4)
= 54+42-4
=92

27.- Σ(X + W + B2) = ΣX + ΣW + ΣB2
= 108 + 42 + (3)2
= 108 + 42 + 9
= 159

28.- ΣXY = 8 (4) + 12 (6) + 16 (8) + 20 (10) + 24 (12) + 28 (14)
= 32 + 72 + 128 + 200 + 288 + 392
= 1112

29.- ΣYZ = 4 (1) + 6 (2) + 8 (3) + 10 (4) + 12 (5) + 14 (6)
= 4 + 12 + 24 + 40 + 60 + 84
= 224

30.- ΣXY = 8 (4) + 12 (6) + 16 (8) + 20 (10) + 24 (12) + 28 (14)
= 32 + 72 + 128 + 200 + 288 + 392
= 1112

31.- ΣX (ΣY) = (8 + 12 + 16 + 20 + 24 + 28) (4 + 6 + 8 +10 + 12 + 14)
= 108 (54)
= 5832

32.- ΣY (ΣZ) = (4 + 6 + 8 + 10 + 12 + 14) (1 + 2 + 3 + 4 + 5 + 6)
= 54 (21)
= 1134

33.- ΣX (ΣW) = (8 + 12 + 16 + 20 + 24 + 28) (2 + 4 + 6 + 8 + 10 + 12)
= 108 (42)
= 4536

34.- Σ X/Y = 8 /4+ 12/6 + 16/8 + 20/10 + 24/12 + 28/14
= 2 + 2 + 2 + 2 + 2 + 2
= 12

35.- Σ X/W = 8/2 + 12/4 + 16/6 + 20/8 + 24/10 + 28/12
= 4 + 3 + 3 + 3 + 2 + 2
= 17


36.- Σ Y/Z = 4/1 + 6/2 + 8/3 + 10/4 + 12/5 + 14/6
= 4 + 3 + 3 + 3 + 2 + 2
= 17


37.- ΣX/ ΣY = 8 + 12 + 16 + 20 + 24 + 28/4 + 6 + 8 + 10 + 12 + 14
= 108 /54
= 2


38.- ΣY/ΣW = 8 + 12 + 16 + 20 + 24 +28/2 + 4 + 6 + 8 + 10 + 12
= 108/42
= 2.5


39.- ΣY/ΣZ = 4 + 6 + 8 + 10 + 12 + 14/1 + 2 + 3 + 4 + 5 + 6
= 54/21
= 2.5